###
**The average of two numbers is 6.5 and square root of their product is 6. What are the numbers?
**

A. 11 and 2
B. 8 and 5
C. 9 and 4
D. 10 and 3
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}\text{Let the two numbers be x and y}\\
\text{Then,}\\
x+y=6.5\times2=13\text{ and }\\
\sqrt{xy}=6\text{ or }xy=36\\
\Rightarrow(x-y)^2=(x+y)^2-4xy\\
\Rightarrow(x-y)^2=(13)^2-4\times36\\
\Rightarrow(x-y)^2=169-144\\
\Rightarrow(x-y)^2=25\\
\Rightarrow(x-y)=5\\
\text{ Solving }x+y=13\text{ and }x-y=5\\
\text{ We get }:x=9,y=4\end{array}$

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### Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average19 people went to a hotel for combine dinner party 13 by 8 runs. His new average is:

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### If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

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